Lipschitz free p-spaces for 0 < p < 1 in the light of the Schur p-property and the compact reduction

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10511048" target="_blank" >RIV/00216208:11320/25:10511048 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=lFtVyCIty6" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=lFtVyCIty6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12220-025-02260-5" target="_blank" >10.1007/s12220-025-02260-5</a>

Result language
angličtina
Original language name
Lipschitz free p-spaces for 0 < p < 1 in the light of the Schur p-property and the compact reduction
Original language description
The geometric analysis of non-locally convex quasi-Banach spaces presents rich and nuanced challenges. In this paper, we introduce the Schur p-property and the strong Schur p-property for 0 < p <= 1, providing new tools to deepen the understanding of these spaces, and the Lipschitz free p-spaces in particular. Moreover, by developing an adapted version of the compact reduction principle, we prove that Lipschitz free p-spaces over discrete metric spaces possess the approximation property, thereby answering positively a question raised by Albiac et al. in [4].
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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